Capacity scaling in a Non-coherent Wideband Massive SIMO Block Fading Channel

by   Felipe Gómez-Cuba, et al.

The scaling of coherent and non-coherent channel capacity is studied in a single-input multiple-output (SIMO) block Rayleigh fading channel as both the bandwidth and the number of receiver antennas go to infinity jointly with the transmit power fixed. The transmitter has no channel state information (CSI), while the receiver may have genie-provided CSI (coherent receiver), or the channel statistics only (non-coherent receiver). Our results show that if the available bandwidth is smaller than a threshold bandwidth which is proportional (up to leading order terms) to the square root of the number of antennas, there is no gap between the coherent capacity and the non-coherent capacity in terms of capacity scaling behavior. On the other hand, when the bandwidth is larger than this threshold, there is a capacity scaling gap. Since achievable rates using pilot symbols for channel estimation are subject to the non-coherent capacity bound, this work reveals that pilot-assisted coherent receivers in systems with a large number of receive antennas are unable to exploit excess spectrum above a given threshold for capacity gain.


On Capacity of Non-Coherent Diamond Networks

There is a vast body of work on the capacity bounds for a "coherent" wir...

Cube-Split: A Structured Grassmannian Constellation for Non-Coherent SIMO Communications

In this paper, we propose a practical structured constellation for non-c...

Covert Capacity of Non-Coherent Rayleigh-Fading Channels

The covert capacity is characterized for a non-coherent fast Rayleigh-fa...

Programming the Kennedy Receiver for Capacity Maximization versus Minimizing One-shot Error Probability

We find the capacity attained by the Kennedy receiver for coherent-state...

End-to-End Learning for Uplink MU-SIMO Joint Transmitter and Non-Coherent Receiver Design in Fading Channels

In this paper, a novel end-to-end learning approach, namely JTRD-Net, is...

Please sign up or login with your details

Forgot password? Click here to reset